ON THE INFLUENCE OF THE SECOND COEFFICIENT ON STARLIKE AND CONVEX FUNCTIONS OF COMPLEX ORDER

  • PATEL, J. (Dept. of Mathematics, Utkal University) ;
  • ACHARYA, M. (Dept. of Mathematics, Utkal University)
  • Received : 1995.10.30
  • Published : 1996.07.30

Abstract

In this paper, we study how the second coefficient in the power series expansion of functions in $P_n$(a; b, M), $F_n$(a; b, M) and $G_n$(a; b, M) influences certain properties like distortion, ${\gamma}-spiral$ radius and radius of starlikeness of these classes.

Keywords

Starlike and convex functions of complex order;${\gamma}-spiral$ radius;radius of starlikeness

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